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Finding the Third Proportional to 49,609.50 and 72,224.25

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Solution

The third proportional to 49,609.50 and 72,224.25 is: 105,148.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,609.50 : 72,224.25 = 72,224.25 : x
  2. Step 2: Convert to fraction form
    49,609.50/72,224.25 = 72,224.25/x
  3. Step 3: Cross multiply
    49,609.50x = 72,224.25 × 72,224.25
  4. Step 4: Simplify right side
    49,609.50x = 5,216,342,288.06
  5. Step 5: Solve for x
    x = 5,216,342,288.06/49,609.50
  6. Step 6: Final answer
    x = 105,148.05

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.